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- W3103892372 abstract "We construct spherically symmetric solutions to the Einstein–Euler equations, which give models of gaseous stars in the framework of the general theory of relativity. We assume a realistic barotropic equation of state. Equilibria of the spherically symmetric Einstein–Euler equations are given by the Tolman–Oppenheimer–Volkoff equations, and time-periodic solutions around the equilibrium of the linearized equations can be considered. Our aim is to find true solutions near these time-periodic approximations. Solutions satisfying a so-called physical boundary condition at the free boundary with the vacuum will be constructed using the Nash–Moser theorem. This work also can be considered as a touchstone in order to estimate the universality of the method which was originally developed for the nonrelativistic Euler–Poisson equations." @default.
- W3103892372 created "2020-11-23" @default.
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- W3103892372 date "2016-06-01" @default.
- W3103892372 modified "2023-09-23" @default.
- W3103892372 title "On spherically symmetric solutions of the Einstein–Euler equations" @default.
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- W3103892372 doi "https://doi.org/10.1215/21562261-3478880" @default.
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